Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528h |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 6 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,244] |
[a1,a2,a3,a4,a6] |
j |
10061824/67 |
j-invariant |
L |
6.0693075916733 |
L(r)(E,1)/r! |
Ω |
3.0346537959367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26264l1 52528m1 |
Quadratic twists by: -4 -7 |